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Conformal mapping techniques for the modelling of liquid crystal devices

Published online by Cambridge University Press:  24 January 2011

A. J. DAVIDSON  and
N. J. MOTTRAM
A. J. DAVIDSON
Affiliation:
Department of Mathematics and Statistics, University of Strathclyde, 26 Richmond Street, Glasgow G1 1XH, UK email: [email protected]
N. J. MOTTRAM
Affiliation:
Department of Mathematics and Statistics, University of Strathclyde, 26 Richmond Street, Glasgow G1 1XH, UK email: [email protected]
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Abstract

In this paper, we review a number of uses of conformal mapping techniques for obtaining director profiles of liquid crystals in confined and semi-confined geometries. In particular, we will consider geometries which allow more than one stable state, some of which are of use in bistable displays. These solutions also allow the investigation of the energy of stable states and enable conclusions to be reached as to how such geometries may be optimised for bistable display applications. Such techniques are also able to provide initial configurations for the solution of more complicated situations where numerical methods are used to investigate switching characteristics.

Keywords

Liquid crystalselasticityconformal mappingbistablility
Type
Papers
Information
European Journal of Applied Mathematics , Volume 23 , Issue 1: Liquid Crystals , February 2012 , pp. 99 - 119
Copyright
Copyright © Cambridge University Press 2011

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